Chin. Phys. Lett.  2007, Vol. 24 Issue (2): 308-311    DOI:
Original Articles |
Discrete Integrable Couplings of the Volterra Lattice
YAO Yu-Qin 1;ZHANG Yu-Feng 2;CHEN Deng-Yuan 1
1 Department of Mathematics, Shanghai University, Shanghai 200444 2 Mathematical School, Liaoning Normal University, Dalian 116029
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YAO Yu-Qin, ZHANG Yu-Feng, CHEN Deng-Yuan 2007 Chin. Phys. Lett. 24 308-311
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Abstract A practicable way to construct discrete integrable couplings is proposed
by making use of two types of semi-direct sum Lie algebras. As its
application, two kinds of discrete integrable couplings of the Volterra
lattice are worked out.
Keywords: 02.03.Ik     
Received: 29 October 2006      Published: 24 February 2007
PACS:  02.03.Ik  
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https://cpl.iphy.ac.cn/       OR      https://cpl.iphy.ac.cn/Y2007/V24/I2/0308
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Articles by authors
YAO Yu-Qin
ZHANG Yu-Feng
CHEN Deng-Yuan
[1] Ma W X and Fuchssteiner B 1996 Chaos, Solitons andFractals 7 1227
[2] Ma W X 2000 Methods Appl. Anal. 7 21
[3] Ma W X and Fuchssteiner B 1996 Phys. Lett. A 21349
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[5] Guo F K and Zhang Y F 2002 Acta Phys. Sin. 51 951(in Chinese)
[6] Guo F K and Zhang Y F 2003 J. Math. Phys. 44 5793
[7] Zhang Y F 2004 Chaos, Solitons and Fractals 21 305
[8] Zhang Y F, Zhang H Q and Yan Q Y 2002 Phys. Lett. A 299 543
[9] Zhang Y F and Yan Q Y 2003 Chaos, Solitons and Fractals 16 263
[10] Ma W X, Xu X X and Zhang Y F 2006 Phys. Lett. A 351 125
[11] Ma W X, Xu X X and Zhang Y F 2006 J. Math. Phys. 47 053501
[12] Zhang Y F, Fan E G and Zhang Y Q 2006 Phys. Lett. A 357 484
[13] Tu G Z 1990 J. Phys. A 23 3903
[14] Kac M, van Moerbeke P 1975 Adv. Math. 16 160
[15] Suris Y B 1999 Rev. Math. Phys. 11 727
[16] Faddeev L D and Takhtajan L A 1986 Lecture Notes inPhys. 246 166
[17] Picking A 1993 J. Phys. A 26 395
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